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				<title level="a" type="main">An Analysis of Bus Ticket Sales in East Bangalore</title>
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							<persName><forename type="first">Yogalakshmi</forename><surname>Jayabal</surname></persName>
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						<title level="a" type="main">An Analysis of Bus Ticket Sales in East Bangalore</title>
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<div xmlns="http://www.tei-c.org/ns/1.0"><p>This paper investigates different aspects of demand modelling for bus transport systems based on the data obtained from Electronic Ticketing Machine(ETM). Nowadays, ETM s have been introduced by many Public Transit Agencies as part of improving their operations and services. The data used in this study is the ticket sales data from the Bangalore Metropolitan Transport Corporation(BMTC) 1 . BMTC approximately makes 69000 vehicle trips with a traffic revenue of Rs5.17 crores everyday. The ETM data of BMTC has approximately 40 million transactions per month. This ETM data can be utilized effectively to understand passenger movement, identification of peak and off-peak hours of the day, popular Origin-Destinations, operator's efficiency in terms of revenue generated, load-profiles at 1. route-level, 2.corridorlevel, 3. Origin-Destination(OD) wise etc across Bangalore. This paper focuses on generation of Origin-Destination matrices from this ETM data to understand the user behaviour between different ODpairs, duration of peaks and off-peaks for the ODpairs across the different times of the day. This OD data will help in understanding the spatiotemporal bus ridership demand in Bangalore. The work presented in this paper provides details on the methodology for generating the ODmatrix and additional inferences that are possible from the ETM data. This work also presents a number of analysis tasks that were executed, to derive information from ETM data for travel demand modelling and operational planning of public transit agencies. A major finding is that while nearly two thirds of ticket sales happen during peak period, peak periods themselves were a small fraction of the overall operating hours.</p></div>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1">Introduction</head><p>Urbanization has resulted in greater demand for movement of people and goods which mandates good mobility within the city. Public Transport plays an important role in mobility in any city. Transportation Planners are often required to analyze various parameters to ensure effective services. Bangalore Metropolitan Transport Corporation(BMTC) is the public bus transit operator in Bangalore in India. There are around 6600 buses with around 2500 routes that are operated in the city. These buses are equipped with automatic vehicle location system(GPS) and electronic ticketing machines. To attract more people, public bus transport-the fleet operator should provide quality service to passengers. It is important to estimate the demand for public transit which in turn affects the operational policies and strategies of the public transit agency. Appropriate estimation of the peak and off-peak time, peak and off-peak loads leads to better understanding and modelling of the travel demands and operations. The ETM is a handheld device that records the transaction when a passenger requests a ticket. The introduction of the Automated data collection source like Electronic Ticketing Machine(ETM) plays a vital role in the absence of smart cards or travel cards in Bangalore. Hence, building tools to explore this ETM data and asking the right analytic questions provides us with the better understanding of the passenger movement and therefore system's behaviour. Bangalore has two types of ticketing system: 1. trip based tickets, and 2. pass-tickets. The passtickets can be one of the following: 1. Student pass, 2. Day pass, 3. Monthly pass, or 4. Senior Citizen. Every transaction in BMTC-ETM captures data like Ticket id, waybil Id, waybill no, schedule no, trip no, etim no, route no, route id etc. Using these, various key performance indicators like Total number of passengers [routelevel,Daily], High boarding/alighting stops, In-vehicle passenger volume or Occupancy, Occupancy ratio, Average revenue per shift etc can be computed to know the effectiveness of the services provided.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2">Related Literature</head><p>There are many factors like speed of the bus, schedule adherence,passenger demand, travel time etc that affect the effectiveness of public travel. One of them is passenger demand. Passenger demand modelling and estimation is one of the important task in transport operations. The conventional method of data collection like household surveys, travel surveys to understand the demand are both expensive and time consuming and hence they are infrequent <ref type="bibr" target="#b6">[Cui07]</ref>. Also, surveys would be conducted on few sample routes or links or zone and hence the comprehensive view of existing demand of a city may not be understood completely. In contrast, there is a need for frequent analysis and updating of real time traffic scenarios to improve the public transport operations. Hence, the Automated Data Collection(ADC) systems have gained importance. The Automated Data Collection(ADC) systems include Automatic Passenger Counting(APC) <ref type="bibr" target="#b3">[Fur06]</ref>, Automatic Vehicle Location(AVL) <ref type="bibr" target="#b3">[Fur06]</ref> and Automatic Fare Collection(AFC) <ref type="bibr" target="#b0">[Nun17]</ref>. Smartcard data <ref type="bibr" target="#b2">[Ort15]</ref>, cellphone data <ref type="bibr" target="#b1">[Dem17]</ref> and social media data are some of the other data sources that are being used now-a-days to understand the travel demand. There are a lot of literature available that explore ADC data to understand the system. Yu et al <ref type="bibr" target="#b4">[Sha16]</ref> have proposed to forecast bus passenger trip flow for transit route design and optimization. They have used Aritificial Neural Network(ANN) to forecast the bus passenger trip flow and have validated with a dataset from China. The ANN model is based on the influence factors like each traffic zone land use (the proportion of residential, commercial and industrial traffic), accessibility to bus stations, area and distance between zones etc. They have used the OD pairs as a base from a survey that was carried out to forecast the passenger flow. Kinene <ref type="bibr" target="#b5">[Kin09]</ref> employed Random Forest machine learning algorithm to predict the hourly demand for buses along all routes in 'Orebro city in Sweden. They have considered factors like day of the week, weather season, time of the day, customer types etc for predicting the hourly demand for buses. Kinene also suggests that these information can be used to decide the frequency on a given route considering these factors. Cui <ref type="bibr" target="#b6">[Cui07]</ref> in his thesis has developed an algorithm to estimate bus passenger ODmatrix using the data from Automatic Vehicle location(AVL) and Automated Fare Collection(AFC). Initially, a single route ODmatrix is estimated from a seed matrix that is derived from AFC data. Then Iterative Proportional Fitting and Maximum Likelihood Estimation(MLE) techniques are used to estimate ODmatrix for single routes. Then network level ODmatrix are estimated. Ji et al <ref type="bibr" target="#b7">[Yji17]</ref> have proposed Hierarchical Bayesian model to estimate the trip-level OD flows and a period-level OD flow from the samples OD flow data collected by the WIFIsensors and the fareboxes. They have used bus load and average journey length to reflect indirectly on the accuracy of their proposed OD estimation method. Li et al <ref type="bibr" target="#b8">[Dli11]</ref> also have proposed an OD estimation matrix for each route using the data collected from the farebox. They have presented an OD estimation model based on trajectory search algorithms to track passenger trips, using the pre-processed smart card data. They have used one day smart card data from Jinan city. They also suggest that the estimated ODpairs can be used to evaluate route network and optimize bus scheduling. Janine <ref type="bibr" target="#b9">[Jan08]</ref> has also proposed to construct Automated Bus Origin-Destination matrix using farebox and AVL data. Most of the works in literature for travel demand analysis are based on the Automatic Fare Collection(AFC) or Farebox. The data that we have analyzed is from Electronic Ticket Machines(ETM) which has few more details than that of Farebox. A few works are available in literature that analyze data from ETM machines. Cyril et all <ref type="bibr" target="#b10">[Cyr17]</ref> have analyzed ETM data of Kerala State Road Transport Corporation for 6 depots in Trivandrum Figure <ref type="figure" target="#fig_3">1</ref>: Bangalore map and Area of study-East Bangalore as outlined by red city for modelling intercity public transport demand to predict the number of trips on a given day. Kalanidhi et al <ref type="bibr" target="#b11">[Kal13]</ref> have used ETM data along with OD pattern of travels taken from Chennai City Traffic Study of Chennai Meteropolitan Development Authority, passenger opinion survey and GPS data to study the accessibility of urban trnasportation networks and assessing its influence on the public transport ridership. Wang et al <ref type="bibr" target="#b12">[Wan11]</ref> have proposed a methodology to infer bus passenger travel behaviour, ODpair inference using the smart card transactions and AVL data in London. In this study the objective is to analyze the ODpairs to understand the passenger distribution and hence to obtain the temporal and spatial variation in ridership and hence passenger travel characteristics. This paper focuses on generating the passenger movement from the ETM data and some of the key performance indicators like Total number of passengers [route-level,day-level], load profiles of routes, identification of peak and off-peak hours based on the number of tickets sold.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3">East Bangalore -A case study</head><p>This section presents the area of study and provides details on the data collected and the methodology used to generate the ODpairs. Bangalore is the fifth largest urban city in India with a population of about 8.5 million as of 2011 with an area of 709 sq km. The below map shows the boundary of Bangalore and the portion highlighted in red is the study region which is East-Bangalore<ref type="foot" target="#foot_0">2</ref> BMTC is the government agency that operates public transport bus service in Bangalore. It has different types of services like 1. General, 2. Samartha, 3. Suvarna, 4. BIG 10, 5. Big Circle, 6. Atal Sarige, 7. Vajra, 8.Vayu vajra, 9. Marcopolo and Corona AC, 10.Metro Feeder and 11. Hop On Hop Off. These BMTC buses are operated from 48 depots<ref type="foot" target="#foot_1">3</ref> within the city and are numbered from 1 to 48. In some BMTC services, the tickets are issued using a Electronic ticket machine(ETM) and in few other services, the manual(pre-printed) tickets are issued. This study analyzes both ETM data and manual ticket data sold in buses operated from four depots 6, 25, 28 and 41, which cater to the East Bangalore population. In the introduction, it was mentioned that two types of tickets -trip based tickets and pass tickets are available in BMTC. This study focuses only on trip based tickets as the information about the travel made by pass ticket holders in not available. It is assumed that the analysis results could be a representative of the total public transit passengers. BMTC is the government agency that operates public transport bus service in Bangalore. It has different types of services like 1. General, 2. Samartha, 3. Suvarna, 4. BIG 10, 5. Big Circle, 6. Atal Sarige, 7. Vajra, 8.Vayu vajra, 9. Marcopolo and Corona AC, 10.Metro Feeder and 11. Hop On Hop Off. These BMTC buses are operated from 48 depots<ref type="foot" target="#foot_2">4</ref> within the city and are numbered from 1 to 48. In some BMTC services, the tickets are issued using a Electronic ticket machine(ETM) and in few other services, the manual(pre-printed) tickets are issued. This study analyzes both ETM data and manual ticket data sold in buses operated from four depots 6, 25, 28 and 41, which cater to the East Bangalore population. In the introduction,  it was mentioned that two types of tickets -trip based tickets and pass tickets are available in BMTC. This study focuses only on trip based tickets as the information about the travel made by pass ticket holders in not available. It is assumed that the analysis results could be a representative of the total public transit passengers.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1">Electronic Ticketing Machine</head><p>The Electronic ticket machine(ETM) is a handheld device which weighs about 800gms. They are GPRS<ref type="foot" target="#foot_3">5</ref> enabled ETM which transmits ticket data to ITS server every 5minutes. The figure <ref type="figure">2</ref> shows both ETM and manual ticket. When a ticket is issued using the ETM, there are as many details as 50 parameters, that are sent to the data server that is placed in BMTC data center. The parameters that we have analyzed are given in Table <ref type="table" target="#tab_0">1</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2">Data Collection and Pre-processing</head><p>The ETM data along with data in manual tickets for the month of December 2018 and July 2019 from depots 6, 25, 28 and 41 was provided to us for analysis. Each data file size was between 250MB to 800MB. Each data file had 59 parameters including: ticket id, waybil Id, waybill no, schedule no, trip no, etim no, route no, route id, transaction no, ticket no, ticket type short code, ticket sub type short code, ticket from stop id, Figure <ref type="figure">3</ref>: Route-level ticket sales data for route: 139 ticket from stop seq no, ticket till stop id, fare type, upload flag etc. Out of these only parameters mentioned in Table <ref type="table" target="#tab_0">1</ref> were required for our analysis.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.3">Pre-Processing of data files</head><p>One data file for each depot(6, 25, 28, 41) was provided consisting of ticket sales of all the routes that operates from the depot. This data file of each depot is processed to check for any inconsistent data type values, spurious rows etc. The data processing steps followed are:</p><p>1. From each depot data, generate separate files for every route.</p><p>2. Simultaneously, extract only the required parameters of Table <ref type="table" target="#tab_0">1</ref> for every route.</p><p>3. The route-level data files for each depot and month(December2018 and July2019) are extracted separately. This extracted route file data size is of the order of few KBs and becomes the base data for further analysis.</p><p>A snapshot of the generated route-level ticket sales data of route 139 is shown in the figure <ref type="figure">3</ref> 4 Data Analysis</p><p>The route-level data files extracted for each depot forms the base data for all our analysis tasks. The following analysis were carried out on these data:</p><p>1. Total Number of Passengers route wise and day wise.</p><p>2. Hourly occupancy of passengers route wise, day wise and vehicle wise. </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.1">Total number of passengers</head><p>The total number of passengers route-level trip-wise, schedule-wise and day-wise computed using a Python script. The sample output for some of the routes are as shown in table 2: </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.2">Hourly Occupancy</head><p>The term occupancy of a bus is defined as the following. It is given by:</p><formula xml:id="formula_0">Occupancy = x + y, where<label>(1)</label></formula><p>x = Number of people who are inside the bus when it arrives at a stop, y = Number of people boarding the bus at that stop − Number of people alighting at that stop</p><p>The occupancy at a route level helps to understand the passenger demand in the route at different times of the day. It also helps to understand the peak and off-peak times of the given route. The figure <ref type="figure">4</ref> gives the hourly occupancy of route:V−500D between December 3 rd − 7 th and figure <ref type="figure">5</ref> gives the hourly occupancy of route:SBS−1K between December 3 rd − 7 th .</p><p>It could be observed that the route:V-500D have 2 clear peaks, one in morning between 8.30 A.M to 10.30 A.M and one in evening between 17.30 P.M to 20.30 P.M. Whereas, the route:SBS-1K has a sharp morning peak, but the evening peak relatively blunt compared to the morning peak. These give the times when the routes are most used. Another important factor to observe is that the peak(morning/evening) load is 2 − 3 times that of the load in off-peak times. This pattern is consistent across all days in the week as shown. The similar pattern is also observed across all weeks of the month. The figure <ref type="figure">6</ref> shows the hourly occupancy in V-500D for 4 weeks in December 2018. We could compute Utilization by examining whether the occupancy is &lt; 100% or &gt; 100%. This piece of information would be a valuable feedback to be considered by the operations and planning team of public transit agency while scheduling.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.3">Load Profile</head><p>The load profiles of a route gives a much detailed information such as the trip-wise, stop-wise and time-wise occupancy. These also allow us to infer the trip times of various trips made through out the day and how they vary in peak and off-peak hours of the day. The figure <ref type="figure">7</ref> show the different trips made by the route:335C in December 2 nd − 7 th . It can be observed that the trips that start between 8.00 A.M and 10.30 A.M take slightly little longer time to complete the trip compared to other trips made in the day. </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.4">Generate Origin-Destination pairs</head><p>The Origin-Destination pairs from the route-level ticket sales data have to generated to understand the spatiotemporal passenger distribution across Bangalore. This also helps in identification of the peaks and valleys in the distribution. The steps followed to generate the ODpairs from the route-level ticket sales data are given below.</p><p>1. From the route-level ticket sales data, the distinct Origin-Destination(OD) pairs for every 15 minutes are extracted along with the number of passengers and ticket amount.</p><p>2. The ODpairs (same ODpairs could occur in multiple routes) for every 15 minutes for each week(only for weekdays) are generated in separate files.</p><p>3. The week-wise files from step no 2 are generated for the months of December 2018 and July 2019 separately.</p><p>There are four weeks in December 2018 : Week 1 : December 3 rd to 7 th , Week 2 : December 10 th to 14 th , Week 3 : December 17 th to 21 th and Week 4 : December 24 th to 28 th . There are five weeks in July 2019 : Week 1 : July 1 st to 5 th , Week 2 : July 8 th to 12 th , Week 3 : July 15 th to 19 th , Week 4 : July 22 nd to 26 th and Week 5 : July 29 th to 31 st .</p><p>4. Once the week-wise ODpairs for each depot are obtained, the same ODpairs across four depots in the same week and in the same time interval(i.e.24 hours of the day are divided into 15 minutes) are combined.</p><p>5. From step no 4, one file for each week of December 2018 and July 2019 are output.</p><p>6. The passengers count of same ODpair across time intervals(i.e. every 15 mins) are summed up to get the total number of passengers for that ODpair in that week.</p><p>7. The ODpair file from step 6 got for each week is sorted in descending order according to the total number of passengers.</p><p>8. The sorted ODpair file is parsed to extract the top 100 ODpairs. 9. The top 100 ODpairs from step 8 are analyzed for duration of peaks and the total number of tickets sold in the peak duration.</p><p>Top 5 of the generated ODpairs for the 2 weeks of December are shown in table 3. From table 3, it can be observed that most of the ODpairs from Week 1 of December are occurring in other week of December as well. This informs that passenger movement across weeks remain similar. The next step is to examine the ticket sales in these top 100 ODpairs for the peak/off-peak times of ticket sales. The peak and off-peak times are identified using a Python script. Though in many of the routes, there are only 2 peaks(morning and evening peak) observed, in many other routes multiple peaks are observed. Also, since the maximum passenger count  <ref type="figure">8</ref>), there is a need to systemically identify the peaks and off-peaks between different ODpairs. The steps of the algorithm to identify the peak and off-peak times of the day is given in 1. Store for each ODpair = peaktime, peak duration, no;of passengers in peakduration ;</p><p>8 end 9 return ODpair, peaktime, peak duration, no;of passengers in peakduration;</p><p>The algorithm 1 is executed for four weeks ODpair data files of December and five weeks ODpair data files of July. The algorithm 1 provides 3 outputs for each week. They are for each ODpair, the peak passenger count, peak duration, time at which peak occurred. Additionally, the total travel time for every ODpair is computed in every week. Using these outputs the following two ratios are computed for every ODpair for every week. </p><p>The week 4 of December 24 th to 28 th being a holiday week and Week 5 of July 29 th to 31 st having only 3 days are ignored for peak behaviour analysis. The sample output of peak pxc ratio for 10 ODpairs for all the weeks considered for analysis in December 2018 and July 2019 are shown in table 4. From the table 4 the following observations can be made.</p><p>1. The percentage of ticket sales in these ODpairs across weeks in both months are similar.</p><p>2. The variance in the peak ticket sales percentage is also less than or equal to 5%.</p><p>The travel time was then computed to examine the duration for which these peak ticket sales occurred. The peak time ratio as in eqn:3 was computed. The peak time ratio across weeks also remains similar. They are as shown in table 5. These peak time ratio are very low indicating that the time for which the peak occurs is very small. This behaviour was observed across weeks in both the months. This also is an evidence that the peak ticket sales are really high compared to the off-peak ticket sales. The top 10 ODpairs for which the peak ticket sales was observed is presented in table <ref type="table" target="#tab_5">6</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5">Discussion</head><p>The Table <ref type="table" target="#tab_5">6</ref> shows that more than 30% of ticket sales occurs in the peak times. The ticket sales in some of the ODpairs goes as high as 60%. The column Mean under peak pxc ratio shows the mean of peak pxc ratio of 7 weeks(3 weeks in December and 4 weeks in July). Similarly the Mean under peak time ratio shows the mean of peak time ratio of 7 weeks. The peak duration are very less compared to the total trips time. This behaviour needs to be considered while scheduling. Jara Díaz et al <ref type="bibr" target="#b13">[Ser17]</ref> have provided an analytical explanation that in urban cities − the number of buses and vehicle size is determined by the characteristics of demand during peak period and adjusting frequencies for other off-peak period whose characteristics are very different from that of the peak duration. They have shown numerically that minimizing social costs(operator and user) for the whole day results in a larger fleet of smaller size buses than if only peak period is considered for determining the fleet size and capacity. The analysis tasks based on the ticket sales data as shown in this paper also show that the peak behaviour is very different from the off-peaks in the system. Hence, the process of planning and scheduling needs to consider both the peak and the off-peaks in the urban transit system.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="6">Conclusion</head><p>The use of automatic data collection techniques various advantages. This study investigates the potential of ETM data and in general ticket sales data for the purposes of operations and planning. The ticket sales data can provide insights into quantitative measures for operational performance. This paper has shown a methodology for generating ODmatrices from ticket sales data along with various other analytical tasks. This paper also shows the effectiveness of ticket sales data for understanding various important performance indicators of the public transit agency. Future works involve coming up with schedule modelling based on Jara Díaz study.</p></div><figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_0"><head>Figure</head><label></label><figDesc>Figure 2: Caption</figDesc><graphic coords="4,64.80,55.06,486.02,113.39" type="bitmap" /></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_1"><head>3.</head><label></label><figDesc>Load profile -Occupancy trip wise and by stop wise 4. Identification of the location and time of peaks and valleys in the distribution of ticket sales month wise and hence check for any patterns. 5. Distribution of users based on identified Origin-Destination pairs.</figDesc></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_2"><head>Figure 4 :Figure 8 :</head><label>48</label><figDesc>Figure 4: Hourly occupancy on V-500D</figDesc><graphic coords="7,64.80,106.37,486.03,187.09" type="bitmap" /></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_3"><head>Algorithm 1 :</head><label>1</label><figDesc>Identification of peak time and duration Data: Top 100 ODpairs data file, Weekdf = ODpair data file of a week Result: ODpair, peaktime, peak duration, number of passengers in peak duration 1 Abbreviations: pxc = passenger count; 2 foreach odpair ∈ top100odpairs do 3 peak pxc = Weekdf . max passenger count ; 4 foreach row ∈ Weekdf do 5 Iterate through the ODpair week data file containing passenger count in 15 mins time interval, to identify and retrieve all the time intervals at which the passenger count is atleast 70% of the peak pxc. 6 end 7</figDesc></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_4"><head></head><label></label><figDesc>peak pxc ratio = Average weekly peak passenger count Average weekly passenger count (2)peak time ratio = T otal peak duration of week T otal travel time of week</figDesc></figure>
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<figure xmlns="http://www.tei-c.org/ns/1.0" type="table" xml:id="tab_0"><head>Table 1 :</head><label>1</label><figDesc>Ticket Parameters Studied</figDesc><table><row><cell>Parameter</cell><cell>Explanation</cell></row><row><cell>Ticket from stop id</cell><cell>Origin stop for the ticket sold</cell></row><row><cell>Ticket till stop id</cell><cell>Destination stop for the ticket sold</cell></row><row><cell>Schedule no</cell><cell>Bus Schedule number</cell></row><row><cell>Trip no</cell><cell>Trip number of the schedule</cell></row><row><cell>Vehicle no</cell><cell></cell></row></table><note>Vehicle number of the bus[KA01F9372 Ticket type short code Code for type of ticket sold [Trip start / Trip close / Passenger / Luggage / Group / Pass / Penalty / Stage close / Toll pass etc] Ticket sub type short code Subtype of the ticket sold like [Adult / Child / Heavyweight / Lightweight / Daily Pass etc] px count Number of passengers Total ticket amount Amount of the ticket sold Ticket from stop seq no Within the route, stop no from where the passenger boards the bus Ticket till stop seq no Within the route, stop no where the passenger alights from the bus Ticket printed flag Whether the ticket was printed Ticket date Ticket issue date Trip direc Trip direction whether it is forward(UP) or backward(DN)</note></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" type="table" xml:id="tab_1"><head>Table 2 :</head><label>2</label><figDesc>Sample output of computed Total number of Passengers</figDesc><table><row><cell>Route</cell><cell cols="2">Vehicle no Ticket date Total</cell><cell>Total</cell><cell>Shift</cell><cell>Trip</cell><cell>Scheduled</cell><cell>Scheduled</cell></row><row><cell>no</cell><cell></cell><cell>no;of</cell><cell>ticket</cell><cell>no</cell><cell>no</cell><cell>Start</cell><cell>End time</cell></row><row><cell></cell><cell></cell><cell>pass</cell><cell>amount</cell><cell></cell><cell></cell><cell>time</cell><cell></cell></row><row><cell></cell><cell></cell><cell>engers</cell><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell></row><row><cell>SBS-</cell><cell>KA01FA1881 12/12/2018</cell><cell>3</cell><cell>28</cell><cell>2</cell><cell>1</cell><cell>2018-12-12</cell><cell>2018-12-12</cell></row><row><cell>13K</cell><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell>12:09:27</cell><cell>13:06:39</cell></row><row><cell>SBS-</cell><cell>KA01FA1881 12/13/2018</cell><cell>4</cell><cell>34</cell><cell>2</cell><cell>1</cell><cell>2018-12-13</cell><cell>2018-12-13</cell></row><row><cell>13K</cell><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell>11:47:51</cell><cell></cell></row><row><cell>SBS-</cell><cell>KA01FA1881 12/18/2018</cell><cell>8</cell><cell>55</cell><cell>2</cell><cell>1</cell><cell>2018-12-18</cell><cell>2018-12-18</cell></row><row><cell>13K</cell><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell>11:15:17</cell><cell>12:40:11</cell></row><row><cell>SBS-</cell><cell>KA01FA1881 12/18/2018</cell><cell>6</cell><cell>50</cell><cell>2</cell><cell>1</cell><cell>2018-12-22</cell><cell>2018-12-22</cell></row><row><cell>13K</cell><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell>12:04:44</cell><cell>12:32:31</cell></row><row><cell>500-QG</cell><cell>KA57F1926 12/29/2018</cell><cell>29</cell><cell>471</cell><cell>2</cell><cell>1</cell><cell>2018-12-29</cell><cell>2018-12-29</cell></row><row><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell>07:25:45</cell><cell>08:01:52</cell></row><row><cell>500-QG</cell><cell>KA57F1926 12/2/2018</cell><cell>17</cell><cell>281</cell><cell>2</cell><cell>1</cell><cell>2018-12-02</cell><cell>2018-12-02</cell></row><row><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell>15:46:47</cell><cell>17:06:30</cell></row></table></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" type="table" xml:id="tab_2"><head>Table 3 :</head><label>3</label><figDesc>Top 5 ODpairs and their passenger counts, total ticket amount for 2 week in December 2018</figDesc><table><row><cell>From</cell><cell cols="2">From stop name</cell><cell>To bus</cell><cell cols="2">To stop name</cell><cell>Passenger</cell><cell>Total ticket</cell></row><row><cell>bus</cell><cell></cell><cell></cell><cell>stop</cell><cell></cell><cell></cell><cell>count</cell><cell>amount</cell></row><row><cell>stop id</cell><cell></cell><cell></cell><cell>id</cell><cell></cell><cell></cell><cell></cell></row><row><cell></cell><cell></cell><cell cols="4">Week -1 : December 3 rd to 7 th</cell><cell></cell></row><row><cell>134</cell><cell cols="2">Kundalahalli Gate</cell><cell>1629</cell><cell cols="2">Marathahalli</cell><cell>6401</cell><cell>32316</cell></row><row><cell>6930</cell><cell>AECS</cell><cell>Layout</cell><cell>2050</cell><cell cols="3">Sathya Sai Hospital 5341</cell><cell>74001</cell></row><row><cell></cell><cell>Cross</cell><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell></row><row><cell>134</cell><cell cols="2">Kundalahalli Gate</cell><cell>154</cell><cell>NAL</cell><cell>Manipal</cell><cell>4313</cell><cell>77013</cell></row><row><cell></cell><cell></cell><cell></cell><cell></cell><cell>Hospital</cell><cell></cell><cell></cell></row><row><cell>2280</cell><cell>Hope</cell><cell>Farm</cell><cell>140</cell><cell cols="2">White Field Post</cell><cell>4210</cell><cell>21143</cell></row><row><cell></cell><cell>(Towards</cell><cell></cell><cell></cell><cell>Office</cell><cell></cell><cell></cell></row><row><cell></cell><cell>Varthuru)</cell><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell></row><row><cell>7030</cell><cell>Bellanduru</cell><cell></cell><cell>2619</cell><cell cols="2">Marathahalli</cell><cell>4171</cell><cell>79290</cell></row><row><cell></cell><cell></cell><cell></cell><cell></cell><cell>Bridge</cell><cell></cell><cell></cell></row><row><cell></cell><cell></cell><cell cols="4">Week -2 December 10 th to 14 th</cell><cell></cell></row><row><cell>134</cell><cell cols="2">Kundalahalli Gate</cell><cell>1629</cell><cell cols="2">Marathahalli</cell><cell>6346</cell><cell>32093</cell></row><row><cell>6930</cell><cell>AECS</cell><cell>Layout</cell><cell>2050</cell><cell cols="3">Sathya Sai Hospital 5285</cell><cell>73504</cell></row><row><cell></cell><cell>Cross</cell><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell></row><row><cell>134</cell><cell cols="2">Kundalahalli Gate</cell><cell>8456</cell><cell cols="2">Kempegowda Bus</cell><cell>4439</cell><cell>113625</cell></row><row><cell></cell><cell></cell><cell></cell><cell></cell><cell>Station</cell><cell></cell><cell></cell></row><row><cell>2280</cell><cell>Hope</cell><cell>Farm</cell><cell>140</cell><cell cols="2">White Field Post</cell><cell>4233</cell><cell>21219</cell></row><row><cell></cell><cell>(Towards</cell><cell></cell><cell></cell><cell>Office</cell><cell></cell><cell></cell></row><row><cell></cell><cell>Varthuru)</cell><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell></row><row><cell>134</cell><cell cols="2">Kundalahalli Gate</cell><cell>154</cell><cell>NAL</cell><cell>Manipal</cell><cell>4105</cell></row><row><cell></cell><cell></cell><cell></cell><cell></cell><cell>Hospital</cell><cell></cell><cell></cell></row></table></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" type="table" xml:id="tab_3"><head>Table 4 :</head><label>4</label><figDesc>Sample Computed peak pxc ratio for some ODpairs</figDesc><table><row><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell cols="3">December 2018</cell><cell>July 2019</cell></row><row><cell>odpair id</cell><cell></cell><cell cols="2">odpair stopnames</cell><cell></cell><cell></cell><cell></cell><cell>peak pxc ratio(as in eqn:2)</cell></row><row><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell>W1</cell><cell>W2</cell><cell>W3</cell><cell>W1</cell><cell>W2</cell><cell>W3</cell><cell>W4</cell></row><row><cell>134 1629</cell><cell cols="3">Kundalahalli Gate Marathahalli</cell><cell></cell><cell cols="3">0.10 0.11 0.11 0.17 0.12 0.12 0.13</cell></row><row><cell cols="8">6930 2050 AECS Layout Cross Sathya Sai Hospital 0.23 0.26 0.24 0.27 0.22 0.23 0.26</cell></row><row><cell cols="4">7030 2619 Bellanduru Marathahalli Bridge</cell><cell></cell><cell cols="3">0.22 0.23 0.26 0.30 0.29 0.29 0.30</cell></row><row><cell>2280 140</cell><cell cols="4">Hope Farm (Towards Varthuru) White</cell><cell cols="3">0.15 0.13 0.13 0.15 0.17 0.13 0.14</cell></row><row><cell></cell><cell cols="2">Field Post Office</cell><cell></cell><cell></cell><cell></cell><cell></cell></row><row><cell cols="2">1218 1234 Sony</cell><cell>World</cell><cell>80ft</cell><cell>Road</cell><cell cols="3">0.23 0.23 0.27 0.28 0.24 0.18 0.22</cell></row><row><cell></cell><cell cols="3">Koramangala Dhoopanahalli</cell><cell></cell><cell></cell><cell></cell></row></table></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" type="table" xml:id="tab_4"><head>Table 5 :</head><label>5</label><figDesc>Sample Computed pxc time ratio for some ODpairs</figDesc><table><row><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell cols="3">December 2018</cell><cell>July 2019</cell></row><row><cell>odpair id</cell><cell cols="3">odpair stopnames</cell><cell></cell><cell></cell><cell cols="2">peak time ratio(as in eqn:3)</cell></row><row><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell><cell>W1</cell><cell>W2</cell><cell>W3</cell><cell>W1</cell><cell>W2</cell><cell>W3</cell><cell>W4</cell></row><row><cell>134 1629</cell><cell cols="7">Kundalahalli Gate Marathahalli 0.0404 0.0577 0.0361 0.0069 0.0299 0.0257 0.0201</cell></row><row><cell cols="5">6930 2050 AECS Layout Cross Sathya Sai</cell><cell>0.029</cell><cell cols="2">0.0193 0.0229 0.0194 0.0323 0.0301 0.0128</cell></row><row><cell></cell><cell>Hospital</cell><cell></cell><cell></cell><cell></cell><cell></cell><cell></cell></row><row><cell cols="8">7030 2619 Bellanduru Marathahalli Bridge 0.0307 0.0168 0.0064 0.0148 0.0148 0.0148 0.0174</cell></row><row><cell>2280 140</cell><cell cols="7">Hope Farm (Towards Varthuru) 0.0166 0.0161 0.0377 0.0371 0.0163 0.0366 0.0163</cell></row><row><cell cols="2">1218 1234 Sony</cell><cell>World</cell><cell>80ft</cell><cell>Road</cell><cell cols="3">0.0228 0.0058 0.0058 0.0056 0.0056 0.0232 0.0114</cell></row><row><cell></cell><cell cols="4">Koramangala Dhoopanahalli</cell><cell></cell><cell></cell></row></table></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" type="table" xml:id="tab_5"><head>Table 6 :</head><label>6</label><figDesc>Top 10 bus stops with high peak pxc ratio in peak time and the variance in peak time is very small</figDesc><table><row><cell></cell><cell></cell><cell></cell><cell></cell><cell cols="2">December 2018</cell><cell>July 2019</cell></row><row><cell>odpair id</cell><cell cols="2">odpair stopnames</cell><cell></cell><cell cols="2">peak pxc ratio</cell><cell>peak time ratio</cell></row><row><cell></cell><cell></cell><cell></cell><cell></cell><cell>Mean</cell><cell cols="2">Variance Mean</cell><cell>Variance</cell></row><row><cell cols="4">2092 6914 Kadugodi Bus Station Pattandur Agrahara</cell><cell>0.66</cell><cell>0.0277</cell><cell>0.0014 0.00001</cell></row><row><cell></cell><cell>Gate</cell><cell></cell><cell></cell><cell></cell><cell></cell></row><row><cell>2092 140</cell><cell cols="4">Kadugodi Bus Station White Field Post Office 0.46</cell><cell>0.0127</cell><cell>0.0029 0.00002</cell></row><row><cell cols="4">9010 9288 Police Station Indiranagara Military Bridge</cell><cell>0.43</cell><cell>0.0104</cell><cell>0.0057 0.00002</cell></row><row><cell>2092 154</cell><cell cols="4">Kadugodi Bus Station NAL Manipal Hospital 0.42</cell><cell>0.0068</cell><cell>0.0057 0.00002</cell></row><row><cell cols="2">2619 2581 Marathahalli</cell><cell>Bridge Dodda</cell><cell>Nekkundi</cell><cell>0.39</cell><cell>0.0055</cell><cell>0.0043 0.00002</cell></row><row><cell></cell><cell cols="2">(Towards Hebbala)</cell><cell></cell><cell></cell><cell></cell></row><row><cell cols="2">5557 2595 Kadabisanahalli</cell><cell cols="2">Bellanduru City Light</cell><cell>0.33</cell><cell>0.0064</cell><cell>0.0043 0.00002</cell></row><row><cell></cell><cell>Appartment</cell><cell></cell><cell></cell><cell></cell><cell></cell></row><row><cell cols="3">7030 5228 Bellanduru Kadabisanahalli</cell><cell></cell><cell>0.32</cell><cell>0.008</cell><cell>0.0057 0.00002</cell></row><row><cell>403 6919</cell><cell cols="3">Pattandur Agrahara Gate Hope Farm</cell><cell>0.32</cell><cell>0.0081</cell><cell>0.0014 0.00001</cell></row><row><cell></cell><cell cols="2">(Towards Hoskote)</cell><cell></cell><cell></cell><cell></cell></row><row><cell cols="4">2055 6929 White Field TTMC (Vydehi Hospital) AECS</cell><cell>0.31</cell><cell>0.0024</cell><cell>0.0114 0.00007</cell></row><row><cell></cell><cell>Layout Cross</cell><cell></cell><cell></cell><cell></cell><cell></cell></row><row><cell>134 2595</cell><cell cols="3">Kundalahalli Gate Bellanduru City Light</cell><cell>0.31</cell><cell>0.0009</cell><cell>0.01</cell><cell>0.00006</cell></row><row><cell></cell><cell>Appartment</cell><cell></cell><cell></cell><cell></cell><cell></cell></row></table></figure>
			<note xmlns="http://www.tei-c.org/ns/1.0" place="foot" n="2" xml:id="foot_0">East-Bangalore was identified as study region since ticket sales data was predominantly available for this region from the 4 depot's data and is not exclusive of east bangalore region.</note>
			<note xmlns="http://www.tei-c.org/ns/1.0" place="foot" n="3" xml:id="foot_1">https://www.mybmtc.karnataka.gov.in/info-1/Depots/en</note>
			<note xmlns="http://www.tei-c.org/ns/1.0" place="foot" n="4" xml:id="foot_2">https://www.mybmtc.karnataka.gov.in/info-1/Depots/en</note>
			<note xmlns="http://www.tei-c.org/ns/1.0" place="foot" n="5" xml:id="foot_3">General Packet Radio service https://www.gsmarena.com/glossary.php3?term=gprs</note>
		</body>
		<back>

			<div type="acknowledgement">
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="6.0.1">Acknowledgements</head><p>The authors thank BMTC for sharing their data to us for analysis. This research received funding from the Netherlands Organisation for Scientific Research (NWO) in the framework of the Indo Dutch Science Industry Collaboration programme [NWO, Den Haag, PO Box 93138,NL-2509 AC The Hague,The Netherlands]. We are thankful to NWO, Royal Shell and Prof. Sebastian Meijer, the Principal Investigator of this project.</p></div>
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